Geodesic
The Rayleigh--Benard convection in an enclosure having finite thickness walls
Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 111-122

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Mathematical simulation of transient natural convection in an enclosure having finite thickness walls at presence of heat source located on bottom of the cavity has been carried out. The special attention was given to the analysis of Grashof number (Gr) effect, describing heat source intensity, of the transient factor, defining formation and development of thermohydrodynamic structures, and also of the heat conductivity ratio. Typical distributions of streamlines and temperature fields have been received. Scales of key parameters (Grashof number, the dimensionless time, the heat conductivity ratio) effect both on local characteristics (streamlines, isotherms) and on integral characteristics (average Nusselt number) of the analyzed process have been determined. 
@article{MM_2009_21_10_a11,
     author = {G. V. Kuznetsov and M. A. Sheremet},
     title = {The {Rayleigh--Benard} convection in an enclosure having finite thickness walls},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--122},
     publisher = {mathdoc},
     volume = {21},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_10_a11/}
}
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G. V. Kuznetsov; M. A. Sheremet. The Rayleigh--Benard convection in an enclosure having finite thickness walls. Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 111-122. http://geodesic.mathdoc.fr/item/MM_2009_21_10_a11/